Probably not, but the cost of creating a new one is trivial, so if anyone using ZBD cares they can always run a parallel account on another client with a different nsec they control - one for gaming, one for social, maybe one for work...
Discussion
This is true except a little more complicated if their social interactions are tied to the games played in the zbd ecosystem . Its totally up to them to do this business model and use it with nostr. But they are rightfully being called out for fawning like freedom tech advocates then building this.
Fair, but if they're putting nostr in front of other people that wouldn't normally be exposed to it, same as they're doing with bitcoin, then we may as well take the opportunity.
Personally I don't think it'd be that hard for them to run some simple explainer videos for their users who are curious, and show good faith by linking to other great nostr based services beyond social.